Hecke transformation for orthogonal bundles over curves
Abstract
Given an orthogonal bundle $E$ over a smooth projective curve $X$ we define a Hecke transformation in the moduli space of orthogonal bundles by performing an elementary transformation with respect to a Lagrangian submodule $L \subset E_{2x}$ at some point $x \in X$. We show that the analogue of Tyurin's duality theorem holds for orthogonal bundles. Special cases of orthogonal bundles of ranks $2,3,4$ and $6$ are studied in detail.
Fields of Study & Subjects
History and Theory of Mathematics
Mathematics and Applications
Mathematics
Computing
and Information Processing
Publication details
- Journal / source
- Transactions of the American Mathematical Society
- Publication date
- 9 July 2026
- Language
- EN